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Finding the Third Proportional to 262,008 and 565,852

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Solution

The third proportional to 262,008 and 565,852 is: 1,222,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,008 : 565,852 = 565,852 : x
  2. Step 2: Convert to fraction form
    262,008/565,852 = 565,852/x
  3. Step 3: Cross multiply
    262,008x = 565,852 × 565,852
  4. Step 4: Simplify right side
    262,008x = 320,188,485,904
  5. Step 5: Solve for x
    x = 320,188,485,904/262,008
  6. Step 6: Final answer
    x = 1,222,056.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.